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Triangle Bisectors

Many different terms for bisectors of triangles.

TermDefinition
Segment Bisector Any segment, line, or plane that intersects a segment at its midpoint (Cuts a segment into 2 congruent line segments).
Perpendicular Bisector A segment bisector that is also perpendicular to the segment it is bisecting.
Locus A set of points that satisfies a particular condition.
Perpendicular Bisector Theorem If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
Converse of the Perpendicular Bisector Theorem If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment.
Concurrent Lines When 3 or more lines intersects at a common point.
Point of Concurrency The point where concurrent lines intersect.
Circumcenter of a Triangle The point of concurrency of the 3 perpendicular bisectors of a triangle.
Circumcenter Theorem The perpendicular bisectors of a triangle intersect at a point called the circumcenter that is equidistant from the vertices of the triangle.
Angle Bisector A line, segment, or ray that divides an angle into 2 congruent angles.
Angle Bisector Theorem If a point is on the bisector of an angle, then it is equidistant from the sides of the angle.
Converse of the Angle Bisector Theorem If a point in the interior of an angle is equidistant from the sides of an angle, then it is on the bisector of the angle.
Incenter of a Triangle The point of concurrency of the 3 angle bisectors of a triangle.
Incenter Theorem The angle bisectors of a triangle intersect at a point called the incenter that is equidistant from the sides of the triangle.
Created by: CommsMKSoz
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